TY - JOUR
AU - Pokladova, Yu.V.
AB - Mathematical models of vibration devices intended for intensifying technological processes are considered. Mathematical models are initial-boundary-value problems for coupled systems of partial differential equations for hydrodynamic functions and deformation functions of elastic elements. We examine the dynamics and dynamic stability of elastic elements. The study of dynamics is based of the Bubnov–Galerkin method. The study of dynamic stability is based on the construction of positive definite Lyapunov-type functionals.
TI - Mathematical Modeling of Vibration Devices
JO - Journal of Mathematical Sciences
DO - 10.1007/s10958-024-07112-1
DA - 2024-05-01
UR - https://www.deepdyve.com/lp/springer-journals/mathematical-modeling-of-vibration-devices-paeSTbzPJv
SP - 376
EP - 389
VL - 281
IS - 3
DP - DeepDyve
ER -